Question
Asked Dec 12, 2019
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Find the minimum and maximum of A over a particular interval [0, 6].
(=) = /,
f(t) dt
The graph of y = f(x) is represented in the figure.
y=f(x)
5 6
3
-1
-2+
(Use symbolic notation and fractions where needed.)
minimum:
maximum:
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Find the minimum and maximum of A over a particular interval [0, 6]. (=) = /, f(t) dt The graph of y = f(x) is represented in the figure. y=f(x) 5 6 3 -1 -2+ (Use symbolic notation and fractions where needed.) minimum: maximum:

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Expert Answer

Step 1

Find the critical points of A(x). Using A'(x)=0

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A(x)= f(t)dt f (t)e 2- d. y=f(x) A'(x)=Lf(t)dt] dx A'(x)=f(x) 0=f(x) x=1.5,4.5 -2+

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Step 2

At x=1.5 , A'(x) is going from negative to positive. 

Means A(x) is going from decreasing to increasing at x=1.5

So, at x=1.5 there is a local minimum of A(x).

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y=f(x) -1 4. 3.

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Step 3

At x=4.5 , A'(x) is going from positive to negative

Means A(x) is going from increasing...

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y=f(x) 2 5 6 3. 4 -1 -24

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